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SajjadAhmad
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BHBH.jpg

A projectile is fired at a target at point C, which lies 100 feet from the base of the platform from which the projectile was fired at point A. If AB = 90 feet, by what distance, in feet, did the projectile fall short of its target?

A. \(100 - 40 \sqrt{5}\)

B. \(100 - 40 \sqrt{3}\)

C. 20

D. 25

5. 40

100 - (\sqrt{90^2-10^2}
= 100 -\sqrt{8000}
= 100-40\sqrt{5}
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SajjadAhmad
Attachment:
BHBH.jpg

A projectile is fired at a target at point C, which lies 100 feet from the base of the platform from which the projectile was fired at point A. If AB = 90 feet, by what distance, in feet, did the projectile fall short of its target?

A. \(100 - 40 \sqrt{5}\)

B. \(100 - 40 \sqrt{3}\)

C. 20

D. 25

5. 40

We can let x = the distance from point B to the base of the platform, so by the Pythagorean theorem, we have:

x^2 + 10^2 = 90^2

x^2 + 100 = 8100

x^2 = 8000

x = √8000 = √1600 x √5 = 40√5

Since 100 is the distance from point C to the base of the platform, the projectile fell short by 100 - 40√5 feet.

Answer: A
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